Triangle DEF has vertices located at D (2, 1), E (3, 5), and F (6, 2). Part A: Find the length of each side of the triangle. Show your work. (4 points) Part B: Find the slope of each side of the triangle. Show your work. (3 points) Part C: Classify the triangle. Explain your reasoning. (3 points)

DE = units, Slope = 4

EF=  units, Slope = -1

DF = units, Slope =

Isosceles acute angled triangle.

Step-by-step explanation:

Given three points:

D (2, 1),

E (3, 5), and

F (6, 2)

To find:

a) Length of each side.

b) Slope of each side.

c) Classification of triangle.

Solution:

Please refer to the attached image for the triangle.

Length can be calculated by using Distance formula:

Formula for slope is given as:

For DE:

For EF:

For DF:

We can see that DE = DF

So, the triangle is Isosceles acute angled.

damm bro the struggle

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x